Find the correlation co-efficient between X and Y, which are jointly normally distributed with 1 1 2rxy f(x, y) = -еxp 1-r? - 2π σ, σ, νι- 2(1-r2) o Ox O y

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Q: now tha 4.31) and that cov(y-ΣΣ) Σ- as in 4.32). – E,. x) = ΣΣΣ as in (4.32). %3D

A: E(y-∑yx∑xxx) = E(y)-∑yx∑xxE(x) = μy-∑yx∑xx μx AS E(y) = μy E(x)=μx ∑yx is the covariance marix…

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Q: 6. Consider the function f(x, y) = cot ¹(1+x) — 2e¹+³y If x = s²-t² and y = 3t+tan(1-s), use the…

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Q: ΣX2 = 65        ΣY2 = 54100                       X̅ = 2.3        Y̅ = 73…

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Q: - (Serial Correlation) Consider the following time series regression model Yt = Bo+ B1x, +, t = 1,,T…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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Q: (a) Find the auto correlation function of Y(t)

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Q: 5. Let f(x,y) = 3x, where 0 ≤ y ≤ x ≤ 1. Find the following. a) Cov(x,y) b) The correlation of X and…

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Q: No. 2: X and Y are jointly continuous with joint pdf (CL if 0 Sxs 2,0 Sys2 f(x,y) = {k(3x² + y³) 0,…

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Q: i. j. Determine the correlation Determine the covariance of X and Y. of X and Y.

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Q: Let f(x₁, x₂) = 21x1x₂, 1 < x₁ < x₂ < 1, zero elsewhere, be the joint PDF of X₁ and 2 $2 2 (a) Find…

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